Abstract

The authors construct dimensionless actions for fields which have non-trivial central charge behaviour. By means of optimisation methods for systems with constraints, they show how such actions must be defined in order to give the correct four-dimensional equations of motion. This is considered initially for a single real scalar free field with one central charge, and extended to successively more complicated situations. In particular they discuss fields with more than one central charge with suitable constraint conditions. They also consider actions for superfields with central charges and obtain full superspace actions for the degenerate cases. Fields without central charges are also described by integration over central charge dimensions. They conclude that their four-dimensional world may be embedded as the boundary of a high-dimensional manifold whose extra dimensions are not directly accessible on-shell.

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